Arizona Winter School in Arithmetic Geometry

在该奖项的支持下，西南算术几何中心将在2016年、2017年、2018年继续举办一系列年度“冬季学校”，2016年亚利桑那州冬季学校将于2016年3月11日至16日在亚利桑那州图森市的亚利桑那大学举行。自1997年成立以来，西南中心的主要活动是亚利桑那州冬季学校（AWS）。每年一次的会议，已成为全国重要的盛会，为研究生在算术几何及相关领域提供高水平的培训和研究经验。AWS是一个为期五天的密集会议，每年围绕不同的中心主题组织，其中包括一系列课程和伴随的研究项目，由领先和新兴专家精心设计和交付。在冬季学校，同学之间的联系形成，学生和高级研究员之间的师徒关系发展。与之前的冬季学校一样，随后各级参与者之间的合作是常态。学生在成为研究数学家的道路上迈出了坚实的一步，博士后助理在学术生涯中获得了宝贵的指导经验，教师培养了新的兴趣，看到了新的联系，从而产生了重要的发表成果。西南中心的网站分享了来自冬季学校的可重复使用的内容，包括课堂讲稿、项目描述以及讲座的音频和视频。通过这些详尽的记录，在AWS开始的对话扩展到更大的社区，AWS参与者的努力可以免费和无限期地向所有人开放。AWS是传统数学会议和密集研究研讨会的独特融合：演讲者组织四堂课的课程，提前提供课堂笔记，并提出研究项目供研究生在会议期间工作。这些项目的夜间工作会议和单独的问题集由演讲者和博士后研究员负责。在最后一天，学生们向会议的参与者展示他们的发现。结果是对每个参与者来说，这是一个特别紧张和集中的五天数学活动。最近冬季学校的主题包括“模形式和模曲线”、“算术统计”和“算术和高维变量”。即将到来的冬季学校的主题将以未来数学发展为指导。更多关于即将到来和过去的亚利桑那冬季学校项目的信息可以在西南中心的网站上找到：http://swc.math.arizona.edu/

With support from this award, the Southwest Center for Arithmetic Geometry will continue its series of annual "Winter Schools" in 2016, 2017, 2018, with the 2016 Arizona Winter School taking place March 11-16, 2016 at the University of Arizona in Tucson, AZ. Since its founding in 1997, the primary activity of the Southwest Center is the Arizona Winter School (AWS), an annual meeting which has become a prominent national event and provides high-level training and research experience for graduate students in arithmetic geometry and related areas. The AWS is an intensive five-day meeting, organized around a different central topic each year, that features a set of courses and accompanying research projects carefully designed and delivered by leading and emerging experts. At the Winter School, connections among peers are formed, and mentoring relationships between students and senior researchers are developed. As has been the case at previous Winter Schools, subsequent collaborations between participants at all levels are the norm. Students make concrete strides toward becoming research mathematicians, post-doctoral assistants gain valuable mentoring experience in their academic careers, and faculty develop new interests and see new connections that lead to important published results. The Southwest Center website shares reusable content from the Winter Schools, including lecture notes, project descriptions, and audio and video of lectures. Through these thorough records, the dialogues begun at the AWS are extended to the greater community, and the efforts of the AWS participants are made freely and indefinitely available to all.The AWS is a unique fusion of traditional mathematics conference and intensive research workshop: the speakers organize courses of four lectures, provide lecture notes in advance, and propose research projects for graduate students to work on during the meeting. Nightly working sessions on these projects and on separate problem sets are run by the speakers and postdoctoral fellows. On the last day, students present their findings to the participants of the meeting. The result is a particularly intense and focused five days of mathematical activity for everyone involved. Recent Winter School topics have included "Modular forms and modular curves", "Arithmetic statistics", and "Arithmetic and higher dimensional varieties." The topics of upcoming Winter Schools will be guided by future mathematical developments. More information about the upcoming and past Arizona Winter School programs can be found at the Southwest Center's website: http://swc.math.arizona.edu/